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Finding the Fourth Proportional to 3,337.92, 5,007.04 and 1,607.84

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Solution

The fourth proportional to 3,337.92, 5,007.04 and 1,607.84 is: 2,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.92 : 5,007.04 = 1,607.84 : x
  2. Step 2: Convert to fraction form
    3,337.92/5,007.04 = 1,607.84/x
  3. Step 3: Cross multiply
    3,337.92x = 5,007.04 × 1,607.84
  4. Step 4: Simplify right side
    3,337.92x = 8,050,519.19
  5. Step 5: Solve for x
    x = 8,050,519.19/3,337.92
  6. Step 6: Final answer
    x = 2,411.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.